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DORGR2(l)) DORGR2(l)DORGR2 - generate an m by n real matrix Q with orthonormal rows,NAMESUBROUTINE DORGR2( M, N, K, A, LDA, TAU, WORK, INFO ) INTEGER INFO, K, LDA, M, N DOUBLE PRECISION A( LDA, * ), TAU( * ), WORK( * )SYNOPSISDORGR2 generates an m by n real matrix Q with orthonormal rows, which is defined as the last m rows of a prod- uct of k elementary reflectors of order n Q = H(1) H(2) . . . H(k) as returned by DGERQF.PURPOSEM (input) INTEGER The number of rows of the matrix Q. M >= 0. N (input) INTEGER The number of columns of the matrix Q. N >= M. K (input) INTEGER The number of elementary reflectors whose product defines the matrix Q. M >= K >= 0. A (input/output) DOUBLE PRECISION array, dimension (LDA,N) On entry, the (m-k+i)-th row must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned by DGERQF in the last k rows of its array argument A. On exit, the m by n matrix Q. LDA (input) INTEGER The first dimension of the array A. LDA >= max(1,M). TAU (input) DOUBLE PRECISION array, dimension (K) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by DGERQF. WORK (workspace) DOUBLE PRECISION array, dimension (M) INFO (output) INTEGER = 0: successful exit < 0: if INFO =ARGUMENTS, the i-th argument has an illegal value-iLAPACK version 3.015 June 2000 DORGR2(l)

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